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Pré-Publication, Document De Travail Année : 2022

Optimal estimate for the gradient of Green functions on degenerating surfaces and applications

Résumé

In this paper we prove a uniform estimate for the gradient of the Green function on a closed Riemann surface, independent of its conformal class, and we derive compactness results for immersions with L2-bounded second fundamental form and for riemannian surfaces of uniformly bounded gaussian curvature entropy.

Dates et versions

hal-03869736 , version 1 (24-11-2022)

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Paul Laurain, Tristan Rivière. Optimal estimate for the gradient of Green functions on degenerating surfaces and applications. 2022. ⟨hal-03869736⟩
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